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<FONT color="green">001</FONT>    /*<a name="line.1"></a>
<FONT color="green">002</FONT>     * Licensed to the Apache Software Foundation (ASF) under one or more<a name="line.2"></a>
<FONT color="green">003</FONT>     * contributor license agreements.  See the NOTICE file distributed with<a name="line.3"></a>
<FONT color="green">004</FONT>     * this work for additional information regarding copyright ownership.<a name="line.4"></a>
<FONT color="green">005</FONT>     * The ASF licenses this file to You under the Apache License, Version 2.0<a name="line.5"></a>
<FONT color="green">006</FONT>     * (the "License"); you may not use this file except in compliance with<a name="line.6"></a>
<FONT color="green">007</FONT>     * the License.  You may obtain a copy of the License at<a name="line.7"></a>
<FONT color="green">008</FONT>     *<a name="line.8"></a>
<FONT color="green">009</FONT>     *      http://www.apache.org/licenses/LICENSE-2.0<a name="line.9"></a>
<FONT color="green">010</FONT>     *<a name="line.10"></a>
<FONT color="green">011</FONT>     * Unless required by applicable law or agreed to in writing, software<a name="line.11"></a>
<FONT color="green">012</FONT>     * distributed under the License is distributed on an "AS IS" BASIS,<a name="line.12"></a>
<FONT color="green">013</FONT>     * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.<a name="line.13"></a>
<FONT color="green">014</FONT>     * See the License for the specific language governing permissions and<a name="line.14"></a>
<FONT color="green">015</FONT>     * limitations under the License.<a name="line.15"></a>
<FONT color="green">016</FONT>     */<a name="line.16"></a>
<FONT color="green">017</FONT>    <a name="line.17"></a>
<FONT color="green">018</FONT>    package org.apache.commons.math3.distribution;<a name="line.18"></a>
<FONT color="green">019</FONT>    <a name="line.19"></a>
<FONT color="green">020</FONT>    import org.apache.commons.math3.exception.NotStrictlyPositiveException;<a name="line.20"></a>
<FONT color="green">021</FONT>    import org.apache.commons.math3.exception.util.LocalizedFormats;<a name="line.21"></a>
<FONT color="green">022</FONT>    import org.apache.commons.math3.special.Beta;<a name="line.22"></a>
<FONT color="green">023</FONT>    import org.apache.commons.math3.util.FastMath;<a name="line.23"></a>
<FONT color="green">024</FONT>    import org.apache.commons.math3.random.RandomGenerator;<a name="line.24"></a>
<FONT color="green">025</FONT>    import org.apache.commons.math3.random.Well19937c;<a name="line.25"></a>
<FONT color="green">026</FONT>    <a name="line.26"></a>
<FONT color="green">027</FONT>    /**<a name="line.27"></a>
<FONT color="green">028</FONT>     * Implementation of the F-distribution.<a name="line.28"></a>
<FONT color="green">029</FONT>     *<a name="line.29"></a>
<FONT color="green">030</FONT>     * @see &lt;a href="http://en.wikipedia.org/wiki/F-distribution"&gt;F-distribution (Wikipedia)&lt;/a&gt;<a name="line.30"></a>
<FONT color="green">031</FONT>     * @see &lt;a href="http://mathworld.wolfram.com/F-Distribution.html"&gt;F-distribution (MathWorld)&lt;/a&gt;<a name="line.31"></a>
<FONT color="green">032</FONT>     * @version $Id: FDistribution.java 1416643 2012-12-03 19:37:14Z tn $<a name="line.32"></a>
<FONT color="green">033</FONT>     */<a name="line.33"></a>
<FONT color="green">034</FONT>    public class FDistribution extends AbstractRealDistribution {<a name="line.34"></a>
<FONT color="green">035</FONT>        /**<a name="line.35"></a>
<FONT color="green">036</FONT>         * Default inverse cumulative probability accuracy.<a name="line.36"></a>
<FONT color="green">037</FONT>         * @since 2.1<a name="line.37"></a>
<FONT color="green">038</FONT>         */<a name="line.38"></a>
<FONT color="green">039</FONT>        public static final double DEFAULT_INVERSE_ABSOLUTE_ACCURACY = 1e-9;<a name="line.39"></a>
<FONT color="green">040</FONT>        /** Serializable version identifier. */<a name="line.40"></a>
<FONT color="green">041</FONT>        private static final long serialVersionUID = -8516354193418641566L;<a name="line.41"></a>
<FONT color="green">042</FONT>        /** The numerator degrees of freedom. */<a name="line.42"></a>
<FONT color="green">043</FONT>        private final double numeratorDegreesOfFreedom;<a name="line.43"></a>
<FONT color="green">044</FONT>        /** The numerator degrees of freedom. */<a name="line.44"></a>
<FONT color="green">045</FONT>        private final double denominatorDegreesOfFreedom;<a name="line.45"></a>
<FONT color="green">046</FONT>        /** Inverse cumulative probability accuracy. */<a name="line.46"></a>
<FONT color="green">047</FONT>        private final double solverAbsoluteAccuracy;<a name="line.47"></a>
<FONT color="green">048</FONT>        /** Cached numerical variance */<a name="line.48"></a>
<FONT color="green">049</FONT>        private double numericalVariance = Double.NaN;<a name="line.49"></a>
<FONT color="green">050</FONT>        /** Whether or not the numerical variance has been calculated */<a name="line.50"></a>
<FONT color="green">051</FONT>        private boolean numericalVarianceIsCalculated = false;<a name="line.51"></a>
<FONT color="green">052</FONT>    <a name="line.52"></a>
<FONT color="green">053</FONT>        /**<a name="line.53"></a>
<FONT color="green">054</FONT>         * Creates an F distribution using the given degrees of freedom.<a name="line.54"></a>
<FONT color="green">055</FONT>         *<a name="line.55"></a>
<FONT color="green">056</FONT>         * @param numeratorDegreesOfFreedom Numerator degrees of freedom.<a name="line.56"></a>
<FONT color="green">057</FONT>         * @param denominatorDegreesOfFreedom Denominator degrees of freedom.<a name="line.57"></a>
<FONT color="green">058</FONT>         * @throws NotStrictlyPositiveException if<a name="line.58"></a>
<FONT color="green">059</FONT>         * {@code numeratorDegreesOfFreedom &lt;= 0} or<a name="line.59"></a>
<FONT color="green">060</FONT>         * {@code denominatorDegreesOfFreedom &lt;= 0}.<a name="line.60"></a>
<FONT color="green">061</FONT>         */<a name="line.61"></a>
<FONT color="green">062</FONT>        public FDistribution(double numeratorDegreesOfFreedom,<a name="line.62"></a>
<FONT color="green">063</FONT>                             double denominatorDegreesOfFreedom)<a name="line.63"></a>
<FONT color="green">064</FONT>            throws NotStrictlyPositiveException {<a name="line.64"></a>
<FONT color="green">065</FONT>            this(numeratorDegreesOfFreedom, denominatorDegreesOfFreedom,<a name="line.65"></a>
<FONT color="green">066</FONT>                 DEFAULT_INVERSE_ABSOLUTE_ACCURACY);<a name="line.66"></a>
<FONT color="green">067</FONT>        }<a name="line.67"></a>
<FONT color="green">068</FONT>    <a name="line.68"></a>
<FONT color="green">069</FONT>        /**<a name="line.69"></a>
<FONT color="green">070</FONT>         * Creates an F distribution using the given degrees of freedom<a name="line.70"></a>
<FONT color="green">071</FONT>         * and inverse cumulative probability accuracy.<a name="line.71"></a>
<FONT color="green">072</FONT>         *<a name="line.72"></a>
<FONT color="green">073</FONT>         * @param numeratorDegreesOfFreedom Numerator degrees of freedom.<a name="line.73"></a>
<FONT color="green">074</FONT>         * @param denominatorDegreesOfFreedom Denominator degrees of freedom.<a name="line.74"></a>
<FONT color="green">075</FONT>         * @param inverseCumAccuracy the maximum absolute error in inverse<a name="line.75"></a>
<FONT color="green">076</FONT>         * cumulative probability estimates.<a name="line.76"></a>
<FONT color="green">077</FONT>         * @throws NotStrictlyPositiveException if<a name="line.77"></a>
<FONT color="green">078</FONT>         * {@code numeratorDegreesOfFreedom &lt;= 0} or<a name="line.78"></a>
<FONT color="green">079</FONT>         * {@code denominatorDegreesOfFreedom &lt;= 0}.<a name="line.79"></a>
<FONT color="green">080</FONT>         * @since 2.1<a name="line.80"></a>
<FONT color="green">081</FONT>         */<a name="line.81"></a>
<FONT color="green">082</FONT>        public FDistribution(double numeratorDegreesOfFreedom,<a name="line.82"></a>
<FONT color="green">083</FONT>                             double denominatorDegreesOfFreedom,<a name="line.83"></a>
<FONT color="green">084</FONT>                             double inverseCumAccuracy)<a name="line.84"></a>
<FONT color="green">085</FONT>            throws NotStrictlyPositiveException {<a name="line.85"></a>
<FONT color="green">086</FONT>            this(new Well19937c(), numeratorDegreesOfFreedom,<a name="line.86"></a>
<FONT color="green">087</FONT>                 denominatorDegreesOfFreedom, inverseCumAccuracy);<a name="line.87"></a>
<FONT color="green">088</FONT>        }<a name="line.88"></a>
<FONT color="green">089</FONT>    <a name="line.89"></a>
<FONT color="green">090</FONT>        /**<a name="line.90"></a>
<FONT color="green">091</FONT>         * Creates an F distribution.<a name="line.91"></a>
<FONT color="green">092</FONT>         *<a name="line.92"></a>
<FONT color="green">093</FONT>         * @param rng Random number generator.<a name="line.93"></a>
<FONT color="green">094</FONT>         * @param numeratorDegreesOfFreedom Numerator degrees of freedom.<a name="line.94"></a>
<FONT color="green">095</FONT>         * @param denominatorDegreesOfFreedom Denominator degrees of freedom.<a name="line.95"></a>
<FONT color="green">096</FONT>         * @param inverseCumAccuracy the maximum absolute error in inverse<a name="line.96"></a>
<FONT color="green">097</FONT>         * cumulative probability estimates.<a name="line.97"></a>
<FONT color="green">098</FONT>         * @throws NotStrictlyPositiveException if<a name="line.98"></a>
<FONT color="green">099</FONT>         * {@code numeratorDegreesOfFreedom &lt;= 0} or<a name="line.99"></a>
<FONT color="green">100</FONT>         * {@code denominatorDegreesOfFreedom &lt;= 0}.<a name="line.100"></a>
<FONT color="green">101</FONT>         * @since 3.1<a name="line.101"></a>
<FONT color="green">102</FONT>         */<a name="line.102"></a>
<FONT color="green">103</FONT>        public FDistribution(RandomGenerator rng,<a name="line.103"></a>
<FONT color="green">104</FONT>                             double numeratorDegreesOfFreedom,<a name="line.104"></a>
<FONT color="green">105</FONT>                             double denominatorDegreesOfFreedom,<a name="line.105"></a>
<FONT color="green">106</FONT>                             double inverseCumAccuracy)<a name="line.106"></a>
<FONT color="green">107</FONT>            throws NotStrictlyPositiveException {<a name="line.107"></a>
<FONT color="green">108</FONT>            super(rng);<a name="line.108"></a>
<FONT color="green">109</FONT>    <a name="line.109"></a>
<FONT color="green">110</FONT>            if (numeratorDegreesOfFreedom &lt;= 0) {<a name="line.110"></a>
<FONT color="green">111</FONT>                throw new NotStrictlyPositiveException(LocalizedFormats.DEGREES_OF_FREEDOM,<a name="line.111"></a>
<FONT color="green">112</FONT>                                                       numeratorDegreesOfFreedom);<a name="line.112"></a>
<FONT color="green">113</FONT>            }<a name="line.113"></a>
<FONT color="green">114</FONT>            if (denominatorDegreesOfFreedom &lt;= 0) {<a name="line.114"></a>
<FONT color="green">115</FONT>                throw new NotStrictlyPositiveException(LocalizedFormats.DEGREES_OF_FREEDOM,<a name="line.115"></a>
<FONT color="green">116</FONT>                                                       denominatorDegreesOfFreedom);<a name="line.116"></a>
<FONT color="green">117</FONT>            }<a name="line.117"></a>
<FONT color="green">118</FONT>            this.numeratorDegreesOfFreedom = numeratorDegreesOfFreedom;<a name="line.118"></a>
<FONT color="green">119</FONT>            this.denominatorDegreesOfFreedom = denominatorDegreesOfFreedom;<a name="line.119"></a>
<FONT color="green">120</FONT>            solverAbsoluteAccuracy = inverseCumAccuracy;<a name="line.120"></a>
<FONT color="green">121</FONT>        }<a name="line.121"></a>
<FONT color="green">122</FONT>    <a name="line.122"></a>
<FONT color="green">123</FONT>        /**<a name="line.123"></a>
<FONT color="green">124</FONT>         * {@inheritDoc}<a name="line.124"></a>
<FONT color="green">125</FONT>         *<a name="line.125"></a>
<FONT color="green">126</FONT>         * @since 2.1<a name="line.126"></a>
<FONT color="green">127</FONT>         */<a name="line.127"></a>
<FONT color="green">128</FONT>        public double density(double x) {<a name="line.128"></a>
<FONT color="green">129</FONT>            final double nhalf = numeratorDegreesOfFreedom / 2;<a name="line.129"></a>
<FONT color="green">130</FONT>            final double mhalf = denominatorDegreesOfFreedom / 2;<a name="line.130"></a>
<FONT color="green">131</FONT>            final double logx = FastMath.log(x);<a name="line.131"></a>
<FONT color="green">132</FONT>            final double logn = FastMath.log(numeratorDegreesOfFreedom);<a name="line.132"></a>
<FONT color="green">133</FONT>            final double logm = FastMath.log(denominatorDegreesOfFreedom);<a name="line.133"></a>
<FONT color="green">134</FONT>            final double lognxm = FastMath.log(numeratorDegreesOfFreedom * x +<a name="line.134"></a>
<FONT color="green">135</FONT>                                               denominatorDegreesOfFreedom);<a name="line.135"></a>
<FONT color="green">136</FONT>            return FastMath.exp(nhalf * logn + nhalf * logx - logx +<a name="line.136"></a>
<FONT color="green">137</FONT>                                mhalf * logm - nhalf * lognxm - mhalf * lognxm -<a name="line.137"></a>
<FONT color="green">138</FONT>                                Beta.logBeta(nhalf, mhalf));<a name="line.138"></a>
<FONT color="green">139</FONT>        }<a name="line.139"></a>
<FONT color="green">140</FONT>    <a name="line.140"></a>
<FONT color="green">141</FONT>        /**<a name="line.141"></a>
<FONT color="green">142</FONT>         * {@inheritDoc}<a name="line.142"></a>
<FONT color="green">143</FONT>         *<a name="line.143"></a>
<FONT color="green">144</FONT>         * The implementation of this method is based on<a name="line.144"></a>
<FONT color="green">145</FONT>         * &lt;ul&gt;<a name="line.145"></a>
<FONT color="green">146</FONT>         *  &lt;li&gt;<a name="line.146"></a>
<FONT color="green">147</FONT>         *   &lt;a href="http://mathworld.wolfram.com/F-Distribution.html"&gt;<a name="line.147"></a>
<FONT color="green">148</FONT>         *   F-Distribution&lt;/a&gt;, equation (4).<a name="line.148"></a>
<FONT color="green">149</FONT>         *  &lt;/li&gt;<a name="line.149"></a>
<FONT color="green">150</FONT>         * &lt;/ul&gt;<a name="line.150"></a>
<FONT color="green">151</FONT>         */<a name="line.151"></a>
<FONT color="green">152</FONT>        public double cumulativeProbability(double x)  {<a name="line.152"></a>
<FONT color="green">153</FONT>            double ret;<a name="line.153"></a>
<FONT color="green">154</FONT>            if (x &lt;= 0) {<a name="line.154"></a>
<FONT color="green">155</FONT>                ret = 0;<a name="line.155"></a>
<FONT color="green">156</FONT>            } else {<a name="line.156"></a>
<FONT color="green">157</FONT>                double n = numeratorDegreesOfFreedom;<a name="line.157"></a>
<FONT color="green">158</FONT>                double m = denominatorDegreesOfFreedom;<a name="line.158"></a>
<FONT color="green">159</FONT>    <a name="line.159"></a>
<FONT color="green">160</FONT>                ret = Beta.regularizedBeta((n * x) / (m + n * x),<a name="line.160"></a>
<FONT color="green">161</FONT>                    0.5 * n,<a name="line.161"></a>
<FONT color="green">162</FONT>                    0.5 * m);<a name="line.162"></a>
<FONT color="green">163</FONT>            }<a name="line.163"></a>
<FONT color="green">164</FONT>            return ret;<a name="line.164"></a>
<FONT color="green">165</FONT>        }<a name="line.165"></a>
<FONT color="green">166</FONT>    <a name="line.166"></a>
<FONT color="green">167</FONT>        /**<a name="line.167"></a>
<FONT color="green">168</FONT>         * Access the numerator degrees of freedom.<a name="line.168"></a>
<FONT color="green">169</FONT>         *<a name="line.169"></a>
<FONT color="green">170</FONT>         * @return the numerator degrees of freedom.<a name="line.170"></a>
<FONT color="green">171</FONT>         */<a name="line.171"></a>
<FONT color="green">172</FONT>        public double getNumeratorDegreesOfFreedom() {<a name="line.172"></a>
<FONT color="green">173</FONT>            return numeratorDegreesOfFreedom;<a name="line.173"></a>
<FONT color="green">174</FONT>        }<a name="line.174"></a>
<FONT color="green">175</FONT>    <a name="line.175"></a>
<FONT color="green">176</FONT>        /**<a name="line.176"></a>
<FONT color="green">177</FONT>         * Access the denominator degrees of freedom.<a name="line.177"></a>
<FONT color="green">178</FONT>         *<a name="line.178"></a>
<FONT color="green">179</FONT>         * @return the denominator degrees of freedom.<a name="line.179"></a>
<FONT color="green">180</FONT>         */<a name="line.180"></a>
<FONT color="green">181</FONT>        public double getDenominatorDegreesOfFreedom() {<a name="line.181"></a>
<FONT color="green">182</FONT>            return denominatorDegreesOfFreedom;<a name="line.182"></a>
<FONT color="green">183</FONT>        }<a name="line.183"></a>
<FONT color="green">184</FONT>    <a name="line.184"></a>
<FONT color="green">185</FONT>        /** {@inheritDoc} */<a name="line.185"></a>
<FONT color="green">186</FONT>        @Override<a name="line.186"></a>
<FONT color="green">187</FONT>        protected double getSolverAbsoluteAccuracy() {<a name="line.187"></a>
<FONT color="green">188</FONT>            return solverAbsoluteAccuracy;<a name="line.188"></a>
<FONT color="green">189</FONT>        }<a name="line.189"></a>
<FONT color="green">190</FONT>    <a name="line.190"></a>
<FONT color="green">191</FONT>        /**<a name="line.191"></a>
<FONT color="green">192</FONT>         * {@inheritDoc}<a name="line.192"></a>
<FONT color="green">193</FONT>         *<a name="line.193"></a>
<FONT color="green">194</FONT>         * For denominator degrees of freedom parameter {@code b}, the mean is<a name="line.194"></a>
<FONT color="green">195</FONT>         * &lt;ul&gt;<a name="line.195"></a>
<FONT color="green">196</FONT>         *  &lt;li&gt;if {@code b &gt; 2} then {@code b / (b - 2)},&lt;/li&gt;<a name="line.196"></a>
<FONT color="green">197</FONT>         *  &lt;li&gt;else undefined ({@code Double.NaN}).<a name="line.197"></a>
<FONT color="green">198</FONT>         * &lt;/ul&gt;<a name="line.198"></a>
<FONT color="green">199</FONT>         */<a name="line.199"></a>
<FONT color="green">200</FONT>        public double getNumericalMean() {<a name="line.200"></a>
<FONT color="green">201</FONT>            final double denominatorDF = getDenominatorDegreesOfFreedom();<a name="line.201"></a>
<FONT color="green">202</FONT>    <a name="line.202"></a>
<FONT color="green">203</FONT>            if (denominatorDF &gt; 2) {<a name="line.203"></a>
<FONT color="green">204</FONT>                return denominatorDF / (denominatorDF - 2);<a name="line.204"></a>
<FONT color="green">205</FONT>            }<a name="line.205"></a>
<FONT color="green">206</FONT>    <a name="line.206"></a>
<FONT color="green">207</FONT>            return Double.NaN;<a name="line.207"></a>
<FONT color="green">208</FONT>        }<a name="line.208"></a>
<FONT color="green">209</FONT>    <a name="line.209"></a>
<FONT color="green">210</FONT>        /**<a name="line.210"></a>
<FONT color="green">211</FONT>         * {@inheritDoc}<a name="line.211"></a>
<FONT color="green">212</FONT>         *<a name="line.212"></a>
<FONT color="green">213</FONT>         * For numerator degrees of freedom parameter {@code a} and denominator<a name="line.213"></a>
<FONT color="green">214</FONT>         * degrees of freedom parameter {@code b}, the variance is<a name="line.214"></a>
<FONT color="green">215</FONT>         * &lt;ul&gt;<a name="line.215"></a>
<FONT color="green">216</FONT>         *  &lt;li&gt;<a name="line.216"></a>
<FONT color="green">217</FONT>         *    if {@code b &gt; 4} then<a name="line.217"></a>
<FONT color="green">218</FONT>         *    {@code [2 * b^2 * (a + b - 2)] / [a * (b - 2)^2 * (b - 4)]},<a name="line.218"></a>
<FONT color="green">219</FONT>         *  &lt;/li&gt;<a name="line.219"></a>
<FONT color="green">220</FONT>         *  &lt;li&gt;else undefined ({@code Double.NaN}).<a name="line.220"></a>
<FONT color="green">221</FONT>         * &lt;/ul&gt;<a name="line.221"></a>
<FONT color="green">222</FONT>         */<a name="line.222"></a>
<FONT color="green">223</FONT>        public double getNumericalVariance() {<a name="line.223"></a>
<FONT color="green">224</FONT>            if (!numericalVarianceIsCalculated) {<a name="line.224"></a>
<FONT color="green">225</FONT>                numericalVariance = calculateNumericalVariance();<a name="line.225"></a>
<FONT color="green">226</FONT>                numericalVarianceIsCalculated = true;<a name="line.226"></a>
<FONT color="green">227</FONT>            }<a name="line.227"></a>
<FONT color="green">228</FONT>            return numericalVariance;<a name="line.228"></a>
<FONT color="green">229</FONT>        }<a name="line.229"></a>
<FONT color="green">230</FONT>    <a name="line.230"></a>
<FONT color="green">231</FONT>        /**<a name="line.231"></a>
<FONT color="green">232</FONT>         * used by {@link #getNumericalVariance()}<a name="line.232"></a>
<FONT color="green">233</FONT>         *<a name="line.233"></a>
<FONT color="green">234</FONT>         * @return the variance of this distribution<a name="line.234"></a>
<FONT color="green">235</FONT>         */<a name="line.235"></a>
<FONT color="green">236</FONT>        protected double calculateNumericalVariance() {<a name="line.236"></a>
<FONT color="green">237</FONT>            final double denominatorDF = getDenominatorDegreesOfFreedom();<a name="line.237"></a>
<FONT color="green">238</FONT>    <a name="line.238"></a>
<FONT color="green">239</FONT>            if (denominatorDF &gt; 4) {<a name="line.239"></a>
<FONT color="green">240</FONT>                final double numeratorDF = getNumeratorDegreesOfFreedom();<a name="line.240"></a>
<FONT color="green">241</FONT>                final double denomDFMinusTwo = denominatorDF - 2;<a name="line.241"></a>
<FONT color="green">242</FONT>    <a name="line.242"></a>
<FONT color="green">243</FONT>                return ( 2 * (denominatorDF * denominatorDF) * (numeratorDF + denominatorDF - 2) ) /<a name="line.243"></a>
<FONT color="green">244</FONT>                       ( (numeratorDF * (denomDFMinusTwo * denomDFMinusTwo) * (denominatorDF - 4)) );<a name="line.244"></a>
<FONT color="green">245</FONT>            }<a name="line.245"></a>
<FONT color="green">246</FONT>    <a name="line.246"></a>
<FONT color="green">247</FONT>            return Double.NaN;<a name="line.247"></a>
<FONT color="green">248</FONT>        }<a name="line.248"></a>
<FONT color="green">249</FONT>    <a name="line.249"></a>
<FONT color="green">250</FONT>        /**<a name="line.250"></a>
<FONT color="green">251</FONT>         * {@inheritDoc}<a name="line.251"></a>
<FONT color="green">252</FONT>         *<a name="line.252"></a>
<FONT color="green">253</FONT>         * The lower bound of the support is always 0 no matter the parameters.<a name="line.253"></a>
<FONT color="green">254</FONT>         *<a name="line.254"></a>
<FONT color="green">255</FONT>         * @return lower bound of the support (always 0)<a name="line.255"></a>
<FONT color="green">256</FONT>         */<a name="line.256"></a>
<FONT color="green">257</FONT>        public double getSupportLowerBound() {<a name="line.257"></a>
<FONT color="green">258</FONT>            return 0;<a name="line.258"></a>
<FONT color="green">259</FONT>        }<a name="line.259"></a>
<FONT color="green">260</FONT>    <a name="line.260"></a>
<FONT color="green">261</FONT>        /**<a name="line.261"></a>
<FONT color="green">262</FONT>         * {@inheritDoc}<a name="line.262"></a>
<FONT color="green">263</FONT>         *<a name="line.263"></a>
<FONT color="green">264</FONT>         * The upper bound of the support is always positive infinity<a name="line.264"></a>
<FONT color="green">265</FONT>         * no matter the parameters.<a name="line.265"></a>
<FONT color="green">266</FONT>         *<a name="line.266"></a>
<FONT color="green">267</FONT>         * @return upper bound of the support (always Double.POSITIVE_INFINITY)<a name="line.267"></a>
<FONT color="green">268</FONT>         */<a name="line.268"></a>
<FONT color="green">269</FONT>        public double getSupportUpperBound() {<a name="line.269"></a>
<FONT color="green">270</FONT>            return Double.POSITIVE_INFINITY;<a name="line.270"></a>
<FONT color="green">271</FONT>        }<a name="line.271"></a>
<FONT color="green">272</FONT>    <a name="line.272"></a>
<FONT color="green">273</FONT>        /** {@inheritDoc} */<a name="line.273"></a>
<FONT color="green">274</FONT>        public boolean isSupportLowerBoundInclusive() {<a name="line.274"></a>
<FONT color="green">275</FONT>            return false;<a name="line.275"></a>
<FONT color="green">276</FONT>        }<a name="line.276"></a>
<FONT color="green">277</FONT>    <a name="line.277"></a>
<FONT color="green">278</FONT>        /** {@inheritDoc} */<a name="line.278"></a>
<FONT color="green">279</FONT>        public boolean isSupportUpperBoundInclusive() {<a name="line.279"></a>
<FONT color="green">280</FONT>            return false;<a name="line.280"></a>
<FONT color="green">281</FONT>        }<a name="line.281"></a>
<FONT color="green">282</FONT>    <a name="line.282"></a>
<FONT color="green">283</FONT>        /**<a name="line.283"></a>
<FONT color="green">284</FONT>         * {@inheritDoc}<a name="line.284"></a>
<FONT color="green">285</FONT>         *<a name="line.285"></a>
<FONT color="green">286</FONT>         * The support of this distribution is connected.<a name="line.286"></a>
<FONT color="green">287</FONT>         *<a name="line.287"></a>
<FONT color="green">288</FONT>         * @return {@code true}<a name="line.288"></a>
<FONT color="green">289</FONT>         */<a name="line.289"></a>
<FONT color="green">290</FONT>        public boolean isSupportConnected() {<a name="line.290"></a>
<FONT color="green">291</FONT>            return true;<a name="line.291"></a>
<FONT color="green">292</FONT>        }<a name="line.292"></a>
<FONT color="green">293</FONT>    }<a name="line.293"></a>




























































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